Weak solutions for p-Laplacian equation

In this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.

Bibliographic Details
Main Authors:	Bhuvaneswari Venkatasubramaniam, Lingeshwaran Shangerganesh, Balachandran Krishnan
Format:	Article
Language:	English
Published:	De Gruyter 2012-11-01
Series:	Advances in Nonlinear Analysis
Subjects:	p-laplacian weak solution leray–schauder fixed point theorem
Online Access:	https://doi.org/10.1515/anona-2012-0009

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spelling	doaj-8cb1370fd1754d2ebe121f975a27f6b02021-09-06T19:39:53ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2012-11-011431933410.1515/anona-2012-0009Weak solutions for p-Laplacian equationBhuvaneswari Venkatasubramaniam0Lingeshwaran Shangerganesh1Balachandran Krishnan2Department of Mathematics, Bharathiar University, Coimbatore - 641 046, IndiaDepartment of Mathematics, Bharathiar University, Coimbatore - 641 046, IndiaDepartment of Mathematics, Bharathiar University, Coimbatore - 641 046, IndiaIn this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.https://doi.org/10.1515/anona-2012-0009p-laplacianweak solutionleray–schauder fixed point theorem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bhuvaneswari Venkatasubramaniam Lingeshwaran Shangerganesh Balachandran Krishnan
spellingShingle	Bhuvaneswari Venkatasubramaniam Lingeshwaran Shangerganesh Balachandran Krishnan Weak solutions for p-Laplacian equation Advances in Nonlinear Analysis p-laplacian weak solution leray–schauder fixed point theorem
author_facet	Bhuvaneswari Venkatasubramaniam Lingeshwaran Shangerganesh Balachandran Krishnan
author_sort	Bhuvaneswari Venkatasubramaniam
title	Weak solutions for p-Laplacian equation
title_short	Weak solutions for p-Laplacian equation
title_full	Weak solutions for p-Laplacian equation
title_fullStr	Weak solutions for p-Laplacian equation
title_full_unstemmed	Weak solutions for p-Laplacian equation
title_sort	weak solutions for p-laplacian equation
publisher	De Gruyter
series	Advances in Nonlinear Analysis
issn	2191-9496 2191-950X
publishDate	2012-11-01
description	In this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.
topic	p-laplacian weak solution leray–schauder fixed point theorem
url	https://doi.org/10.1515/anona-2012-0009
work_keys_str_mv	AT bhuvaneswarivenkatasubramaniam weaksolutionsforplaplacianequation AT lingeshwaranshangerganesh weaksolutionsforplaplacianequation AT balachandrankrishnan weaksolutionsforplaplacianequation
_version_	1717769803433771008

Weak solutions for p-Laplacian equation

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